The symplectic structure on the moduli space of line bundles on a noncommutative Azumaya surface

被引：2

作者：

Reede, Fabian ^{[1
,2
]}

机构：

[1] Mary Immaculate Coll, Dept Math & Comp Studies, South Circular Rd, Limerick, Ireland

[2] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2019年 / 60卷 / 01期

关键词：

Moduli spaces; Symplectic structures; Azumaya algebras;

D O I：

10.1007/s13366-018-0406-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove that the moduli space of torsion-free modules of rank one over an Azumaya algebra on a K3 surface is an irreducible symplectic variety deformation equivalent to a Hilbert scheme of points on the K3 surface.

引用

页码：67 / 76

页数：10

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